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Simplifying 8z + -10 = 11 + 5z Reorder the terms: -10 + 8z = 11 + 5z Solving -10 + 8z = 11 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -10 + 8z + -5z = 11 + 5z + -5z Combine like terms: 8z + -5z = 3z -10 + 3z = 11 + 5z + -5z Combine like terms: 5z + -5z = 0 -10 + 3z = 11 + 0 -10 + 3z = 11 Add '10' to each side of the equation. -10 + 10 + 3z = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 3z = 11 + 10 3z = 11 + 10 Combine like terms: 11 + 10 = 21 3z = 21 Divide each side by '3'. z = 7 Simplifying z = 7
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